If a number is divisible by 12, which of the following must also be true?
Practice Questions
Q1
If a number is divisible by 12, which of the following must also be true?
It is divisible by 3
It is divisible by 5
It is divisible by 10
It is a prime number
Questions & Step-by-Step Solutions
If a number is divisible by 12, which of the following must also be true?
Step 1: Understand what it means for a number to be divisible by 12. This means that when you divide the number by 12, there is no remainder.
Step 2: Know the factors of 12. The number 12 can be broken down into its factors: 3 and 4 (since 12 = 3 x 4).
Step 3: Recognize that if a number is divisible by 12, it must also be divisible by each of its factors. This means it must be divisible by 3 and also by 4.
Step 4: Conclude that if a number is divisible by 12, it is guaranteed to be divisible by both 3 and 4.
Divisibility Rules – Understanding the rules for divisibility, particularly for the numbers 3 and 4, which are factors of 12.
Prime Factorization – Recognizing that 12 can be factored into its prime components (2^2 * 3), which helps in determining divisibility.
